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Finding the Fourth Proportional to 137.84, 205.78 and 119.72

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Solution

The fourth proportional to 137.84, 205.78 and 119.72 is: 178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.84 : 205.78 = 119.72 : x
  2. Step 2: Convert to fraction form
    137.84/205.78 = 119.72/x
  3. Step 3: Cross multiply
    137.84x = 205.78 × 119.72
  4. Step 4: Simplify right side
    137.84x = 24,635.98
  5. Step 5: Solve for x
    x = 24,635.98/137.84
  6. Step 6: Final answer
    x = 178.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.